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Q: Use of linear function in real life?

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Rational function can be used in real life in modeling multi-person work problems.

cost estimation and architecture uses linear function.

when does it make sense to choose a linear function to model a set of data

There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.

As with most advanced math, if your "real life" involves engineering work, you will use such math; otherwise, you will hardly have anything to do, in this case, with polynomial functions.

A cubic function can be used to represent the volume of a 3-dimensional object, or can be used to model a position of a certain unit.

electricians use the Square Root function when connecting 3 way outlets with the electral current of an intel processor.

Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.

we can use sum function to find the range of cell

There are many things one can do with this mobile web app. You can search using their search app. You can use the map function to get directions. Also, you can use their plus function for real life sharing through the web.

I'm not altogether clear about what you mean. However, the term 'linear programming' means a category of optimisation problems in which both the objective function and the constraints are linear. Please see the link.

The function of a screwdriver is it's use as a lever to twist or rotate a screw either clockwise or counterclockwise. This converts the rotational force to linear force.

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